A rectangular block of modeling clay is 4 inches wide by 5 inches long by 7 inches deep. Alicia wants to form a sphere from the clay and then place it inside a cube-shaped box so that the sphere touches the sides of the box. What is the radius of the sphere?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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A rectangular block of modeling clay is 4 inches wide by 5 inches long by 7 inches deep. Alicia wants to form a sphere from the clay and then place it inside a cube-shaped box so that the sphere touches the sides of the box.

What is the radius of the sphere?       ["", "", "", ""]  inches

What is the volume of the sphere?       ["", "", "", ""]  cubic inches

What is the edge length of the box?       ["", "", "", ""]  inches

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